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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.geometry.euclidean.twod;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import java.awt.geom.AffineTransform;<a name="line.19"></a>
<FONT color="green">020</FONT>    <a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.exception.MathIllegalArgumentException;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.exception.util.LocalizedFormats;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.geometry.Vector;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Euclidean1D;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.IntervalsSet;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.OrientedPoint;<a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math3.geometry.euclidean.oned.Vector1D;<a name="line.27"></a>
<FONT color="green">028</FONT>    import org.apache.commons.math3.geometry.partitioning.Embedding;<a name="line.28"></a>
<FONT color="green">029</FONT>    import org.apache.commons.math3.geometry.partitioning.Hyperplane;<a name="line.29"></a>
<FONT color="green">030</FONT>    import org.apache.commons.math3.geometry.partitioning.SubHyperplane;<a name="line.30"></a>
<FONT color="green">031</FONT>    import org.apache.commons.math3.geometry.partitioning.Transform;<a name="line.31"></a>
<FONT color="green">032</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.32"></a>
<FONT color="green">033</FONT>    import org.apache.commons.math3.util.MathUtils;<a name="line.33"></a>
<FONT color="green">034</FONT>    <a name="line.34"></a>
<FONT color="green">035</FONT>    /** This class represents an oriented line in the 2D plane.<a name="line.35"></a>
<FONT color="green">036</FONT>    <a name="line.36"></a>
<FONT color="green">037</FONT>     * &lt;p&gt;An oriented line can be defined either by prolongating a line<a name="line.37"></a>
<FONT color="green">038</FONT>     * segment between two points past these points, or by one point and<a name="line.38"></a>
<FONT color="green">039</FONT>     * an angular direction (in trigonometric orientation).&lt;/p&gt;<a name="line.39"></a>
<FONT color="green">040</FONT>    <a name="line.40"></a>
<FONT color="green">041</FONT>     * &lt;p&gt;Since it is oriented the two half planes at its two sides are<a name="line.41"></a>
<FONT color="green">042</FONT>     * unambiguously identified as a left half plane and a right half<a name="line.42"></a>
<FONT color="green">043</FONT>     * plane. This can be used to identify the interior and the exterior<a name="line.43"></a>
<FONT color="green">044</FONT>     * in a simple way by local properties only when part of a line is<a name="line.44"></a>
<FONT color="green">045</FONT>     * used to define part of a polygon boundary.&lt;/p&gt;<a name="line.45"></a>
<FONT color="green">046</FONT>    <a name="line.46"></a>
<FONT color="green">047</FONT>     * &lt;p&gt;A line can also be used to completely define a reference frame<a name="line.47"></a>
<FONT color="green">048</FONT>     * in the plane. It is sufficient to select one specific point in the<a name="line.48"></a>
<FONT color="green">049</FONT>     * line (the orthogonal projection of the original reference frame on<a name="line.49"></a>
<FONT color="green">050</FONT>     * the line) and to use the unit vector in the line direction and the<a name="line.50"></a>
<FONT color="green">051</FONT>     * orthogonal vector oriented from left half plane to right half<a name="line.51"></a>
<FONT color="green">052</FONT>     * plane. We define two coordinates by the process, the<a name="line.52"></a>
<FONT color="green">053</FONT>     * &lt;em&gt;abscissa&lt;/em&gt; along the line, and the &lt;em&gt;offset&lt;/em&gt; across<a name="line.53"></a>
<FONT color="green">054</FONT>     * the line. All points of the plane are uniquely identified by these<a name="line.54"></a>
<FONT color="green">055</FONT>     * two coordinates. The line is the set of points at zero offset, the<a name="line.55"></a>
<FONT color="green">056</FONT>     * left half plane is the set of points with negative offsets and the<a name="line.56"></a>
<FONT color="green">057</FONT>     * right half plane is the set of points with positive offsets.&lt;/p&gt;<a name="line.57"></a>
<FONT color="green">058</FONT>    <a name="line.58"></a>
<FONT color="green">059</FONT>     * @version $Id: Line.java 1422195 2012-12-15 06:45:18Z psteitz $<a name="line.59"></a>
<FONT color="green">060</FONT>     * @since 3.0<a name="line.60"></a>
<FONT color="green">061</FONT>     */<a name="line.61"></a>
<FONT color="green">062</FONT>    public class Line implements Hyperplane&lt;Euclidean2D&gt;, Embedding&lt;Euclidean2D, Euclidean1D&gt; {<a name="line.62"></a>
<FONT color="green">063</FONT>    <a name="line.63"></a>
<FONT color="green">064</FONT>        /** Angle with respect to the abscissa axis. */<a name="line.64"></a>
<FONT color="green">065</FONT>        private double angle;<a name="line.65"></a>
<FONT color="green">066</FONT>    <a name="line.66"></a>
<FONT color="green">067</FONT>        /** Cosine of the line angle. */<a name="line.67"></a>
<FONT color="green">068</FONT>        private double cos;<a name="line.68"></a>
<FONT color="green">069</FONT>    <a name="line.69"></a>
<FONT color="green">070</FONT>        /** Sine of the line angle. */<a name="line.70"></a>
<FONT color="green">071</FONT>        private double sin;<a name="line.71"></a>
<FONT color="green">072</FONT>    <a name="line.72"></a>
<FONT color="green">073</FONT>        /** Offset of the frame origin. */<a name="line.73"></a>
<FONT color="green">074</FONT>        private double originOffset;<a name="line.74"></a>
<FONT color="green">075</FONT>    <a name="line.75"></a>
<FONT color="green">076</FONT>        /** Build a line from two points.<a name="line.76"></a>
<FONT color="green">077</FONT>         * &lt;p&gt;The line is oriented from p1 to p2&lt;/p&gt;<a name="line.77"></a>
<FONT color="green">078</FONT>         * @param p1 first point<a name="line.78"></a>
<FONT color="green">079</FONT>         * @param p2 second point<a name="line.79"></a>
<FONT color="green">080</FONT>         */<a name="line.80"></a>
<FONT color="green">081</FONT>        public Line(final Vector2D p1, final Vector2D p2) {<a name="line.81"></a>
<FONT color="green">082</FONT>            reset(p1, p2);<a name="line.82"></a>
<FONT color="green">083</FONT>        }<a name="line.83"></a>
<FONT color="green">084</FONT>    <a name="line.84"></a>
<FONT color="green">085</FONT>        /** Build a line from a point and an angle.<a name="line.85"></a>
<FONT color="green">086</FONT>         * @param p point belonging to the line<a name="line.86"></a>
<FONT color="green">087</FONT>         * @param angle angle of the line with respect to abscissa axis<a name="line.87"></a>
<FONT color="green">088</FONT>         */<a name="line.88"></a>
<FONT color="green">089</FONT>        public Line(final Vector2D p, final double angle) {<a name="line.89"></a>
<FONT color="green">090</FONT>            reset(p, angle);<a name="line.90"></a>
<FONT color="green">091</FONT>        }<a name="line.91"></a>
<FONT color="green">092</FONT>    <a name="line.92"></a>
<FONT color="green">093</FONT>        /** Build a line from its internal characteristics.<a name="line.93"></a>
<FONT color="green">094</FONT>         * @param angle angle of the line with respect to abscissa axis<a name="line.94"></a>
<FONT color="green">095</FONT>         * @param cos cosine of the angle<a name="line.95"></a>
<FONT color="green">096</FONT>         * @param sin sine of the angle<a name="line.96"></a>
<FONT color="green">097</FONT>         * @param originOffset offset of the origin<a name="line.97"></a>
<FONT color="green">098</FONT>         */<a name="line.98"></a>
<FONT color="green">099</FONT>        private Line(final double angle, final double cos, final double sin, final double originOffset) {<a name="line.99"></a>
<FONT color="green">100</FONT>            this.angle        = angle;<a name="line.100"></a>
<FONT color="green">101</FONT>            this.cos          = cos;<a name="line.101"></a>
<FONT color="green">102</FONT>            this.sin          = sin;<a name="line.102"></a>
<FONT color="green">103</FONT>            this.originOffset = originOffset;<a name="line.103"></a>
<FONT color="green">104</FONT>        }<a name="line.104"></a>
<FONT color="green">105</FONT>    <a name="line.105"></a>
<FONT color="green">106</FONT>        /** Copy constructor.<a name="line.106"></a>
<FONT color="green">107</FONT>         * &lt;p&gt;The created instance is completely independent from the<a name="line.107"></a>
<FONT color="green">108</FONT>         * original instance, it is a deep copy.&lt;/p&gt;<a name="line.108"></a>
<FONT color="green">109</FONT>         * @param line line to copy<a name="line.109"></a>
<FONT color="green">110</FONT>         */<a name="line.110"></a>
<FONT color="green">111</FONT>        public Line(final Line line) {<a name="line.111"></a>
<FONT color="green">112</FONT>            angle        = MathUtils.normalizeAngle(line.angle, FastMath.PI);<a name="line.112"></a>
<FONT color="green">113</FONT>            cos          = FastMath.cos(angle);<a name="line.113"></a>
<FONT color="green">114</FONT>            sin          = FastMath.sin(angle);<a name="line.114"></a>
<FONT color="green">115</FONT>            originOffset = line.originOffset;<a name="line.115"></a>
<FONT color="green">116</FONT>        }<a name="line.116"></a>
<FONT color="green">117</FONT>    <a name="line.117"></a>
<FONT color="green">118</FONT>        /** {@inheritDoc} */<a name="line.118"></a>
<FONT color="green">119</FONT>        public Line copySelf() {<a name="line.119"></a>
<FONT color="green">120</FONT>            return new Line(this);<a name="line.120"></a>
<FONT color="green">121</FONT>        }<a name="line.121"></a>
<FONT color="green">122</FONT>    <a name="line.122"></a>
<FONT color="green">123</FONT>        /** Reset the instance as if built from two points.<a name="line.123"></a>
<FONT color="green">124</FONT>         * &lt;p&gt;The line is oriented from p1 to p2&lt;/p&gt;<a name="line.124"></a>
<FONT color="green">125</FONT>         * @param p1 first point<a name="line.125"></a>
<FONT color="green">126</FONT>         * @param p2 second point<a name="line.126"></a>
<FONT color="green">127</FONT>         */<a name="line.127"></a>
<FONT color="green">128</FONT>        public void reset(final Vector2D p1, final Vector2D p2) {<a name="line.128"></a>
<FONT color="green">129</FONT>            final double dx = p2.getX() - p1.getX();<a name="line.129"></a>
<FONT color="green">130</FONT>            final double dy = p2.getY() - p1.getY();<a name="line.130"></a>
<FONT color="green">131</FONT>            final double d = FastMath.hypot(dx, dy);<a name="line.131"></a>
<FONT color="green">132</FONT>            if (d == 0.0) {<a name="line.132"></a>
<FONT color="green">133</FONT>                angle        = 0.0;<a name="line.133"></a>
<FONT color="green">134</FONT>                cos          = 1.0;<a name="line.134"></a>
<FONT color="green">135</FONT>                sin          = 0.0;<a name="line.135"></a>
<FONT color="green">136</FONT>                originOffset = p1.getY();<a name="line.136"></a>
<FONT color="green">137</FONT>            } else {<a name="line.137"></a>
<FONT color="green">138</FONT>                angle        = FastMath.PI + FastMath.atan2(-dy, -dx);<a name="line.138"></a>
<FONT color="green">139</FONT>                cos          = FastMath.cos(angle);<a name="line.139"></a>
<FONT color="green">140</FONT>                sin          = FastMath.sin(angle);<a name="line.140"></a>
<FONT color="green">141</FONT>                originOffset = (p2.getX() * p1.getY() - p1.getX() * p2.getY()) / d;<a name="line.141"></a>
<FONT color="green">142</FONT>            }<a name="line.142"></a>
<FONT color="green">143</FONT>        }<a name="line.143"></a>
<FONT color="green">144</FONT>    <a name="line.144"></a>
<FONT color="green">145</FONT>        /** Reset the instance as if built from a line and an angle.<a name="line.145"></a>
<FONT color="green">146</FONT>         * @param p point belonging to the line<a name="line.146"></a>
<FONT color="green">147</FONT>         * @param alpha angle of the line with respect to abscissa axis<a name="line.147"></a>
<FONT color="green">148</FONT>         */<a name="line.148"></a>
<FONT color="green">149</FONT>        public void reset(final Vector2D p, final double alpha) {<a name="line.149"></a>
<FONT color="green">150</FONT>            this.angle   = MathUtils.normalizeAngle(alpha, FastMath.PI);<a name="line.150"></a>
<FONT color="green">151</FONT>            cos          = FastMath.cos(this.angle);<a name="line.151"></a>
<FONT color="green">152</FONT>            sin          = FastMath.sin(this.angle);<a name="line.152"></a>
<FONT color="green">153</FONT>            originOffset = cos * p.getY() - sin * p.getX();<a name="line.153"></a>
<FONT color="green">154</FONT>        }<a name="line.154"></a>
<FONT color="green">155</FONT>    <a name="line.155"></a>
<FONT color="green">156</FONT>        /** Revert the instance.<a name="line.156"></a>
<FONT color="green">157</FONT>         */<a name="line.157"></a>
<FONT color="green">158</FONT>        public void revertSelf() {<a name="line.158"></a>
<FONT color="green">159</FONT>            if (angle &lt; FastMath.PI) {<a name="line.159"></a>
<FONT color="green">160</FONT>                angle += FastMath.PI;<a name="line.160"></a>
<FONT color="green">161</FONT>            } else {<a name="line.161"></a>
<FONT color="green">162</FONT>                angle -= FastMath.PI;<a name="line.162"></a>
<FONT color="green">163</FONT>            }<a name="line.163"></a>
<FONT color="green">164</FONT>            cos          = -cos;<a name="line.164"></a>
<FONT color="green">165</FONT>            sin          = -sin;<a name="line.165"></a>
<FONT color="green">166</FONT>            originOffset = -originOffset;<a name="line.166"></a>
<FONT color="green">167</FONT>        }<a name="line.167"></a>
<FONT color="green">168</FONT>    <a name="line.168"></a>
<FONT color="green">169</FONT>        /** Get the reverse of the instance.<a name="line.169"></a>
<FONT color="green">170</FONT>         * &lt;p&gt;Get a line with reversed orientation with respect to the<a name="line.170"></a>
<FONT color="green">171</FONT>         * instance. A new object is built, the instance is untouched.&lt;/p&gt;<a name="line.171"></a>
<FONT color="green">172</FONT>         * @return a new line, with orientation opposite to the instance orientation<a name="line.172"></a>
<FONT color="green">173</FONT>         */<a name="line.173"></a>
<FONT color="green">174</FONT>        public Line getReverse() {<a name="line.174"></a>
<FONT color="green">175</FONT>            return new Line((angle &lt; FastMath.PI) ? (angle + FastMath.PI) : (angle - FastMath.PI),<a name="line.175"></a>
<FONT color="green">176</FONT>                            -cos, -sin, -originOffset);<a name="line.176"></a>
<FONT color="green">177</FONT>        }<a name="line.177"></a>
<FONT color="green">178</FONT>    <a name="line.178"></a>
<FONT color="green">179</FONT>        /** {@inheritDoc} */<a name="line.179"></a>
<FONT color="green">180</FONT>        public Vector1D toSubSpace(final Vector&lt;Euclidean2D&gt; point) {<a name="line.180"></a>
<FONT color="green">181</FONT>            Vector2D p2 = (Vector2D) point;<a name="line.181"></a>
<FONT color="green">182</FONT>            return new Vector1D(cos * p2.getX() + sin * p2.getY());<a name="line.182"></a>
<FONT color="green">183</FONT>        }<a name="line.183"></a>
<FONT color="green">184</FONT>    <a name="line.184"></a>
<FONT color="green">185</FONT>        /** {@inheritDoc} */<a name="line.185"></a>
<FONT color="green">186</FONT>        public Vector2D toSpace(final Vector&lt;Euclidean1D&gt; point) {<a name="line.186"></a>
<FONT color="green">187</FONT>            final double abscissa = ((Vector1D) point).getX();<a name="line.187"></a>
<FONT color="green">188</FONT>            return new Vector2D(abscissa * cos - originOffset * sin,<a name="line.188"></a>
<FONT color="green">189</FONT>                                abscissa * sin + originOffset * cos);<a name="line.189"></a>
<FONT color="green">190</FONT>        }<a name="line.190"></a>
<FONT color="green">191</FONT>    <a name="line.191"></a>
<FONT color="green">192</FONT>        /** Get the intersection point of the instance and another line.<a name="line.192"></a>
<FONT color="green">193</FONT>         * @param other other line<a name="line.193"></a>
<FONT color="green">194</FONT>         * @return intersection point of the instance and the other line<a name="line.194"></a>
<FONT color="green">195</FONT>         * or null if there are no intersection points<a name="line.195"></a>
<FONT color="green">196</FONT>         */<a name="line.196"></a>
<FONT color="green">197</FONT>        public Vector2D intersection(final Line other) {<a name="line.197"></a>
<FONT color="green">198</FONT>            final double d = sin * other.cos - other.sin * cos;<a name="line.198"></a>
<FONT color="green">199</FONT>            if (FastMath.abs(d) &lt; 1.0e-10) {<a name="line.199"></a>
<FONT color="green">200</FONT>                return null;<a name="line.200"></a>
<FONT color="green">201</FONT>            }<a name="line.201"></a>
<FONT color="green">202</FONT>            return new Vector2D((cos * other.originOffset - other.cos * originOffset) / d,<a name="line.202"></a>
<FONT color="green">203</FONT>                                (sin * other.originOffset - other.sin * originOffset) / d);<a name="line.203"></a>
<FONT color="green">204</FONT>        }<a name="line.204"></a>
<FONT color="green">205</FONT>    <a name="line.205"></a>
<FONT color="green">206</FONT>        /** {@inheritDoc} */<a name="line.206"></a>
<FONT color="green">207</FONT>        public SubLine wholeHyperplane() {<a name="line.207"></a>
<FONT color="green">208</FONT>            return new SubLine(this, new IntervalsSet());<a name="line.208"></a>
<FONT color="green">209</FONT>        }<a name="line.209"></a>
<FONT color="green">210</FONT>    <a name="line.210"></a>
<FONT color="green">211</FONT>        /** Build a region covering the whole space.<a name="line.211"></a>
<FONT color="green">212</FONT>         * @return a region containing the instance (really a {@link<a name="line.212"></a>
<FONT color="green">213</FONT>         * PolygonsSet PolygonsSet} instance)<a name="line.213"></a>
<FONT color="green">214</FONT>         */<a name="line.214"></a>
<FONT color="green">215</FONT>        public PolygonsSet wholeSpace() {<a name="line.215"></a>
<FONT color="green">216</FONT>            return new PolygonsSet();<a name="line.216"></a>
<FONT color="green">217</FONT>        }<a name="line.217"></a>
<FONT color="green">218</FONT>    <a name="line.218"></a>
<FONT color="green">219</FONT>        /** Get the offset (oriented distance) of a parallel line.<a name="line.219"></a>
<FONT color="green">220</FONT>         * &lt;p&gt;This method should be called only for parallel lines otherwise<a name="line.220"></a>
<FONT color="green">221</FONT>         * the result is not meaningful.&lt;/p&gt;<a name="line.221"></a>
<FONT color="green">222</FONT>         * &lt;p&gt;The offset is 0 if both lines are the same, it is<a name="line.222"></a>
<FONT color="green">223</FONT>         * positive if the line is on the right side of the instance and<a name="line.223"></a>
<FONT color="green">224</FONT>         * negative if it is on the left side, according to its natural<a name="line.224"></a>
<FONT color="green">225</FONT>         * orientation.&lt;/p&gt;<a name="line.225"></a>
<FONT color="green">226</FONT>         * @param line line to check<a name="line.226"></a>
<FONT color="green">227</FONT>         * @return offset of the line<a name="line.227"></a>
<FONT color="green">228</FONT>         */<a name="line.228"></a>
<FONT color="green">229</FONT>        public double getOffset(final Line line) {<a name="line.229"></a>
<FONT color="green">230</FONT>            return originOffset +<a name="line.230"></a>
<FONT color="green">231</FONT>                   ((cos * line.cos + sin * line.sin &gt; 0) ? -line.originOffset : line.originOffset);<a name="line.231"></a>
<FONT color="green">232</FONT>        }<a name="line.232"></a>
<FONT color="green">233</FONT>    <a name="line.233"></a>
<FONT color="green">234</FONT>        /** {@inheritDoc} */<a name="line.234"></a>
<FONT color="green">235</FONT>        public double getOffset(final Vector&lt;Euclidean2D&gt; point) {<a name="line.235"></a>
<FONT color="green">236</FONT>            Vector2D p2 = (Vector2D) point;<a name="line.236"></a>
<FONT color="green">237</FONT>            return sin * p2.getX() - cos * p2.getY() + originOffset;<a name="line.237"></a>
<FONT color="green">238</FONT>        }<a name="line.238"></a>
<FONT color="green">239</FONT>    <a name="line.239"></a>
<FONT color="green">240</FONT>        /** {@inheritDoc} */<a name="line.240"></a>
<FONT color="green">241</FONT>        public boolean sameOrientationAs(final Hyperplane&lt;Euclidean2D&gt; other) {<a name="line.241"></a>
<FONT color="green">242</FONT>            final Line otherL = (Line) other;<a name="line.242"></a>
<FONT color="green">243</FONT>            return (sin * otherL.sin + cos * otherL.cos) &gt;= 0.0;<a name="line.243"></a>
<FONT color="green">244</FONT>        }<a name="line.244"></a>
<FONT color="green">245</FONT>    <a name="line.245"></a>
<FONT color="green">246</FONT>        /** Get one point from the plane.<a name="line.246"></a>
<FONT color="green">247</FONT>         * @param abscissa desired abscissa for the point<a name="line.247"></a>
<FONT color="green">248</FONT>         * @param offset desired offset for the point<a name="line.248"></a>
<FONT color="green">249</FONT>         * @return one point in the plane, with given abscissa and offset<a name="line.249"></a>
<FONT color="green">250</FONT>         * relative to the line<a name="line.250"></a>
<FONT color="green">251</FONT>         */<a name="line.251"></a>
<FONT color="green">252</FONT>        public Vector2D getPointAt(final Vector1D abscissa, final double offset) {<a name="line.252"></a>
<FONT color="green">253</FONT>            final double x       = abscissa.getX();<a name="line.253"></a>
<FONT color="green">254</FONT>            final double dOffset = offset - originOffset;<a name="line.254"></a>
<FONT color="green">255</FONT>            return new Vector2D(x * cos + dOffset * sin, x * sin - dOffset * cos);<a name="line.255"></a>
<FONT color="green">256</FONT>        }<a name="line.256"></a>
<FONT color="green">257</FONT>    <a name="line.257"></a>
<FONT color="green">258</FONT>        /** Check if the line contains a point.<a name="line.258"></a>
<FONT color="green">259</FONT>         * @param p point to check<a name="line.259"></a>
<FONT color="green">260</FONT>         * @return true if p belongs to the line<a name="line.260"></a>
<FONT color="green">261</FONT>         */<a name="line.261"></a>
<FONT color="green">262</FONT>        public boolean contains(final Vector2D p) {<a name="line.262"></a>
<FONT color="green">263</FONT>            return FastMath.abs(getOffset(p)) &lt; 1.0e-10;<a name="line.263"></a>
<FONT color="green">264</FONT>        }<a name="line.264"></a>
<FONT color="green">265</FONT>    <a name="line.265"></a>
<FONT color="green">266</FONT>        /** Compute the distance between the instance and a point.<a name="line.266"></a>
<FONT color="green">267</FONT>         * &lt;p&gt;This is a shortcut for invoking FastMath.abs(getOffset(p)),<a name="line.267"></a>
<FONT color="green">268</FONT>         * and provides consistency with what is in the<a name="line.268"></a>
<FONT color="green">269</FONT>         * org.apache.commons.math3.geometry.euclidean.threed.Line class.&lt;/p&gt;<a name="line.269"></a>
<FONT color="green">270</FONT>         *<a name="line.270"></a>
<FONT color="green">271</FONT>         * @param p to check<a name="line.271"></a>
<FONT color="green">272</FONT>         * @return distance between the instance and the point<a name="line.272"></a>
<FONT color="green">273</FONT>         * @since 3.1<a name="line.273"></a>
<FONT color="green">274</FONT>         */<a name="line.274"></a>
<FONT color="green">275</FONT>        public double distance(final Vector2D p) {<a name="line.275"></a>
<FONT color="green">276</FONT>            return FastMath.abs(getOffset(p));<a name="line.276"></a>
<FONT color="green">277</FONT>        }<a name="line.277"></a>
<FONT color="green">278</FONT>    <a name="line.278"></a>
<FONT color="green">279</FONT>        /** Check the instance is parallel to another line.<a name="line.279"></a>
<FONT color="green">280</FONT>         * @param line other line to check<a name="line.280"></a>
<FONT color="green">281</FONT>         * @return true if the instance is parallel to the other line<a name="line.281"></a>
<FONT color="green">282</FONT>         * (they can have either the same or opposite orientations)<a name="line.282"></a>
<FONT color="green">283</FONT>         */<a name="line.283"></a>
<FONT color="green">284</FONT>        public boolean isParallelTo(final Line line) {<a name="line.284"></a>
<FONT color="green">285</FONT>            return FastMath.abs(sin * line.cos - cos * line.sin) &lt; 1.0e-10;<a name="line.285"></a>
<FONT color="green">286</FONT>        }<a name="line.286"></a>
<FONT color="green">287</FONT>    <a name="line.287"></a>
<FONT color="green">288</FONT>        /** Translate the line to force it passing by a point.<a name="line.288"></a>
<FONT color="green">289</FONT>         * @param p point by which the line should pass<a name="line.289"></a>
<FONT color="green">290</FONT>         */<a name="line.290"></a>
<FONT color="green">291</FONT>        public void translateToPoint(final Vector2D p) {<a name="line.291"></a>
<FONT color="green">292</FONT>            originOffset = cos * p.getY() - sin * p.getX();<a name="line.292"></a>
<FONT color="green">293</FONT>        }<a name="line.293"></a>
<FONT color="green">294</FONT>    <a name="line.294"></a>
<FONT color="green">295</FONT>        /** Get the angle of the line.<a name="line.295"></a>
<FONT color="green">296</FONT>         * @return the angle of the line with respect to the abscissa axis<a name="line.296"></a>
<FONT color="green">297</FONT>         */<a name="line.297"></a>
<FONT color="green">298</FONT>        public double getAngle() {<a name="line.298"></a>
<FONT color="green">299</FONT>            return MathUtils.normalizeAngle(angle, FastMath.PI);<a name="line.299"></a>
<FONT color="green">300</FONT>        }<a name="line.300"></a>
<FONT color="green">301</FONT>    <a name="line.301"></a>
<FONT color="green">302</FONT>        /** Set the angle of the line.<a name="line.302"></a>
<FONT color="green">303</FONT>         * @param angle new angle of the line with respect to the abscissa axis<a name="line.303"></a>
<FONT color="green">304</FONT>         */<a name="line.304"></a>
<FONT color="green">305</FONT>        public void setAngle(final double angle) {<a name="line.305"></a>
<FONT color="green">306</FONT>            this.angle = MathUtils.normalizeAngle(angle, FastMath.PI);<a name="line.306"></a>
<FONT color="green">307</FONT>            cos        = FastMath.cos(this.angle);<a name="line.307"></a>
<FONT color="green">308</FONT>            sin        = FastMath.sin(this.angle);<a name="line.308"></a>
<FONT color="green">309</FONT>        }<a name="line.309"></a>
<FONT color="green">310</FONT>    <a name="line.310"></a>
<FONT color="green">311</FONT>        /** Get the offset of the origin.<a name="line.311"></a>
<FONT color="green">312</FONT>         * @return the offset of the origin<a name="line.312"></a>
<FONT color="green">313</FONT>         */<a name="line.313"></a>
<FONT color="green">314</FONT>        public double getOriginOffset() {<a name="line.314"></a>
<FONT color="green">315</FONT>            return originOffset;<a name="line.315"></a>
<FONT color="green">316</FONT>        }<a name="line.316"></a>
<FONT color="green">317</FONT>    <a name="line.317"></a>
<FONT color="green">318</FONT>        /** Set the offset of the origin.<a name="line.318"></a>
<FONT color="green">319</FONT>         * @param offset offset of the origin<a name="line.319"></a>
<FONT color="green">320</FONT>         */<a name="line.320"></a>
<FONT color="green">321</FONT>        public void setOriginOffset(final double offset) {<a name="line.321"></a>
<FONT color="green">322</FONT>            originOffset = offset;<a name="line.322"></a>
<FONT color="green">323</FONT>        }<a name="line.323"></a>
<FONT color="green">324</FONT>    <a name="line.324"></a>
<FONT color="green">325</FONT>        /** Get a {@link org.apache.commons.math3.geometry.partitioning.Transform<a name="line.325"></a>
<FONT color="green">326</FONT>         * Transform} embedding an affine transform.<a name="line.326"></a>
<FONT color="green">327</FONT>         * @param transform affine transform to embed (must be inversible<a name="line.327"></a>
<FONT color="green">328</FONT>         * otherwise the {@link<a name="line.328"></a>
<FONT color="green">329</FONT>         * org.apache.commons.math3.geometry.partitioning.Transform#apply(Hyperplane)<a name="line.329"></a>
<FONT color="green">330</FONT>         * apply(Hyperplane)} method would work only for some lines, and<a name="line.330"></a>
<FONT color="green">331</FONT>         * fail for other ones)<a name="line.331"></a>
<FONT color="green">332</FONT>         * @return a new transform that can be applied to either {@link<a name="line.332"></a>
<FONT color="green">333</FONT>         * Vector2D Vector2D}, {@link Line Line} or {@link<a name="line.333"></a>
<FONT color="green">334</FONT>         * org.apache.commons.math3.geometry.partitioning.SubHyperplane<a name="line.334"></a>
<FONT color="green">335</FONT>         * SubHyperplane} instances<a name="line.335"></a>
<FONT color="green">336</FONT>         * @exception MathIllegalArgumentException if the transform is non invertible<a name="line.336"></a>
<FONT color="green">337</FONT>         */<a name="line.337"></a>
<FONT color="green">338</FONT>        public static Transform&lt;Euclidean2D, Euclidean1D&gt; getTransform(final AffineTransform transform)<a name="line.338"></a>
<FONT color="green">339</FONT>            throws MathIllegalArgumentException {<a name="line.339"></a>
<FONT color="green">340</FONT>            return new LineTransform(transform);<a name="line.340"></a>
<FONT color="green">341</FONT>        }<a name="line.341"></a>
<FONT color="green">342</FONT>    <a name="line.342"></a>
<FONT color="green">343</FONT>        /** Class embedding an affine transform.<a name="line.343"></a>
<FONT color="green">344</FONT>         * &lt;p&gt;This class is used in order to apply an affine transform to a<a name="line.344"></a>
<FONT color="green">345</FONT>         * line. Using a specific object allow to perform some computations<a name="line.345"></a>
<FONT color="green">346</FONT>         * on the transform only once even if the same transform is to be<a name="line.346"></a>
<FONT color="green">347</FONT>         * applied to a large number of lines (for example to a large<a name="line.347"></a>
<FONT color="green">348</FONT>         * polygon)./&lt;p&gt;<a name="line.348"></a>
<FONT color="green">349</FONT>         */<a name="line.349"></a>
<FONT color="green">350</FONT>        private static class LineTransform implements Transform&lt;Euclidean2D, Euclidean1D&gt; {<a name="line.350"></a>
<FONT color="green">351</FONT>    <a name="line.351"></a>
<FONT color="green">352</FONT>            // CHECKSTYLE: stop JavadocVariable check<a name="line.352"></a>
<FONT color="green">353</FONT>            private double cXX;<a name="line.353"></a>
<FONT color="green">354</FONT>            private double cXY;<a name="line.354"></a>
<FONT color="green">355</FONT>            private double cX1;<a name="line.355"></a>
<FONT color="green">356</FONT>            private double cYX;<a name="line.356"></a>
<FONT color="green">357</FONT>            private double cYY;<a name="line.357"></a>
<FONT color="green">358</FONT>            private double cY1;<a name="line.358"></a>
<FONT color="green">359</FONT>    <a name="line.359"></a>
<FONT color="green">360</FONT>            private double c1Y;<a name="line.360"></a>
<FONT color="green">361</FONT>            private double c1X;<a name="line.361"></a>
<FONT color="green">362</FONT>            private double c11;<a name="line.362"></a>
<FONT color="green">363</FONT>            // CHECKSTYLE: resume JavadocVariable check<a name="line.363"></a>
<FONT color="green">364</FONT>    <a name="line.364"></a>
<FONT color="green">365</FONT>            /** Build an affine line transform from a n {@code AffineTransform}.<a name="line.365"></a>
<FONT color="green">366</FONT>             * @param transform transform to use (must be invertible otherwise<a name="line.366"></a>
<FONT color="green">367</FONT>             * the {@link LineTransform#apply(Hyperplane)} method would work<a name="line.367"></a>
<FONT color="green">368</FONT>             * only for some lines, and fail for other ones)<a name="line.368"></a>
<FONT color="green">369</FONT>             * @exception MathIllegalArgumentException if the transform is non invertible<a name="line.369"></a>
<FONT color="green">370</FONT>             */<a name="line.370"></a>
<FONT color="green">371</FONT>            public LineTransform(final AffineTransform transform) throws MathIllegalArgumentException {<a name="line.371"></a>
<FONT color="green">372</FONT>    <a name="line.372"></a>
<FONT color="green">373</FONT>                final double[] m = new double[6];<a name="line.373"></a>
<FONT color="green">374</FONT>                transform.getMatrix(m);<a name="line.374"></a>
<FONT color="green">375</FONT>                cXX = m[0];<a name="line.375"></a>
<FONT color="green">376</FONT>                cXY = m[2];<a name="line.376"></a>
<FONT color="green">377</FONT>                cX1 = m[4];<a name="line.377"></a>
<FONT color="green">378</FONT>                cYX = m[1];<a name="line.378"></a>
<FONT color="green">379</FONT>                cYY = m[3];<a name="line.379"></a>
<FONT color="green">380</FONT>                cY1 = m[5];<a name="line.380"></a>
<FONT color="green">381</FONT>    <a name="line.381"></a>
<FONT color="green">382</FONT>                c1Y = cXY * cY1 - cYY * cX1;<a name="line.382"></a>
<FONT color="green">383</FONT>                c1X = cXX * cY1 - cYX * cX1;<a name="line.383"></a>
<FONT color="green">384</FONT>                c11 = cXX * cYY - cYX * cXY;<a name="line.384"></a>
<FONT color="green">385</FONT>    <a name="line.385"></a>
<FONT color="green">386</FONT>                if (FastMath.abs(c11) &lt; 1.0e-20) {<a name="line.386"></a>
<FONT color="green">387</FONT>                    throw new MathIllegalArgumentException(LocalizedFormats.NON_INVERTIBLE_TRANSFORM);<a name="line.387"></a>
<FONT color="green">388</FONT>                }<a name="line.388"></a>
<FONT color="green">389</FONT>    <a name="line.389"></a>
<FONT color="green">390</FONT>            }<a name="line.390"></a>
<FONT color="green">391</FONT>    <a name="line.391"></a>
<FONT color="green">392</FONT>            /** {@inheritDoc} */<a name="line.392"></a>
<FONT color="green">393</FONT>            public Vector2D apply(final Vector&lt;Euclidean2D&gt; point) {<a name="line.393"></a>
<FONT color="green">394</FONT>                final Vector2D p2D = (Vector2D) point;<a name="line.394"></a>
<FONT color="green">395</FONT>                final double  x   = p2D.getX();<a name="line.395"></a>
<FONT color="green">396</FONT>                final double  y   = p2D.getY();<a name="line.396"></a>
<FONT color="green">397</FONT>                return new Vector2D(cXX * x + cXY * y + cX1,<a name="line.397"></a>
<FONT color="green">398</FONT>                                   cYX * x + cYY * y + cY1);<a name="line.398"></a>
<FONT color="green">399</FONT>            }<a name="line.399"></a>
<FONT color="green">400</FONT>    <a name="line.400"></a>
<FONT color="green">401</FONT>            /** {@inheritDoc} */<a name="line.401"></a>
<FONT color="green">402</FONT>            public Line apply(final Hyperplane&lt;Euclidean2D&gt; hyperplane) {<a name="line.402"></a>
<FONT color="green">403</FONT>                final Line   line    = (Line) hyperplane;<a name="line.403"></a>
<FONT color="green">404</FONT>                final double rOffset = c1X * line.cos + c1Y * line.sin + c11 * line.originOffset;<a name="line.404"></a>
<FONT color="green">405</FONT>                final double rCos    = cXX * line.cos + cXY * line.sin;<a name="line.405"></a>
<FONT color="green">406</FONT>                final double rSin    = cYX * line.cos + cYY * line.sin;<a name="line.406"></a>
<FONT color="green">407</FONT>                final double inv     = 1.0 / FastMath.sqrt(rSin * rSin + rCos * rCos);<a name="line.407"></a>
<FONT color="green">408</FONT>                return new Line(FastMath.PI + FastMath.atan2(-rSin, -rCos),<a name="line.408"></a>
<FONT color="green">409</FONT>                                inv * rCos, inv * rSin,<a name="line.409"></a>
<FONT color="green">410</FONT>                                inv * rOffset);<a name="line.410"></a>
<FONT color="green">411</FONT>            }<a name="line.411"></a>
<FONT color="green">412</FONT>    <a name="line.412"></a>
<FONT color="green">413</FONT>            /** {@inheritDoc} */<a name="line.413"></a>
<FONT color="green">414</FONT>            public SubHyperplane&lt;Euclidean1D&gt; apply(final SubHyperplane&lt;Euclidean1D&gt; sub,<a name="line.414"></a>
<FONT color="green">415</FONT>                                                    final Hyperplane&lt;Euclidean2D&gt; original,<a name="line.415"></a>
<FONT color="green">416</FONT>                                                    final Hyperplane&lt;Euclidean2D&gt; transformed) {<a name="line.416"></a>
<FONT color="green">417</FONT>                final OrientedPoint op     = (OrientedPoint) sub.getHyperplane();<a name="line.417"></a>
<FONT color="green">418</FONT>                final Line originalLine    = (Line) original;<a name="line.418"></a>
<FONT color="green">419</FONT>                final Line transformedLine = (Line) transformed;<a name="line.419"></a>
<FONT color="green">420</FONT>                final Vector1D newLoc =<a name="line.420"></a>
<FONT color="green">421</FONT>                    transformedLine.toSubSpace(apply(originalLine.toSpace(op.getLocation())));<a name="line.421"></a>
<FONT color="green">422</FONT>                return new OrientedPoint(newLoc, op.isDirect()).wholeHyperplane();<a name="line.422"></a>
<FONT color="green">423</FONT>            }<a name="line.423"></a>
<FONT color="green">424</FONT>    <a name="line.424"></a>
<FONT color="green">425</FONT>        }<a name="line.425"></a>
<FONT color="green">426</FONT>    <a name="line.426"></a>
<FONT color="green">427</FONT>    }<a name="line.427"></a>




























































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